Q: What are the factor combinations of the number 87,104,771?

 A:
Positive:   1 x 8710477113 x 670036737 x 235418347 x 1853293481 x 181091611 x 1425611739 x 500893853 x 22607
Negative: -1 x -87104771-13 x -6700367-37 x -2354183-47 x -1853293-481 x -181091-611 x -142561-1739 x -50089-3853 x -22607


How do I find the factor combinations of the number 87,104,771?

Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the divisors of larger numbers. To find the factor combinations of the number 87,104,771, it is easier to work with a table - it's called factoring from the outside in.

Outside in Factoring

We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table. Then, below that, write the numbers as a negative as well.

1 87,104,771
-1 -87,104,771

Why are the negative numbers included?

When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 87,104,771.

Example:
1 x 87,104,771 = 87,104,771
and
-1 x -87,104,771 = 87,104,771
Notice both answers equal 87,104,771

With that explanation out of the way, let's continue. Next, we take the number 87,104,771 and divide it by 2:

87,104,771 ÷ 2 = 43,552,385.5

If the quotient is a whole number, then 2 and 43,552,385.5 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 87,104,771
-1 -87,104,771

Now, we try dividing 87,104,771 by 3:

87,104,771 ÷ 3 = 29,034,923.6667

If the quotient is a whole number, then 3 and 29,034,923.6667 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 87,104,771
-1 -87,104,771

Let's try dividing by 4:

87,104,771 ÷ 4 = 21,776,192.75

If the quotient is a whole number, then 4 and 21,776,192.75 are factors. In this case, the quotient is not a whole number. Don't write anything down and try the next divisor.

Here is what our table should look like at this step:

1 87,104,771
-1 87,104,771
Keep dividing by the next highest number until you cannot divide anymore.

If you did it right, you will end up with this table:

11337474816111,7393,85322,60750,089142,561181,0911,853,2932,354,1836,700,36787,104,771
-1-13-37-47-481-611-1,739-3,853-22,607-50,089-142,561-181,091-1,853,293-2,354,183-6,700,367-87,104,771

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